3 citations · 5 across the 3 of their papers we have counts for
3 papers
math.CO2016★ 3 cited
Expanders with superquadratic growth
Antal Balog, Oliver Roche-Newton, Dmitry Zhelezov
We will prove several expanders with exponent strictly greater than . For any finite set , we prove the following six-variable expander results: \begin{alig…
math.CO2014★ 1 cited
A bound on the multiplicative energy of a sum set and extremal sum-product problems
Oliver Roche-Newton, Dmitry Zhelezov
In recent years some near-optimal estimates have been established for certain sum-product type estimates. This paper gives some first extremal results which provide information abo…
math.GR2012★ 1 cited
Can connected commuting graphs of finite groups have arbitrarily large diameter ?
Peter Hegarty, Dmitry Zhelezov
We present a family of finite, non-abelian groups and propose that there are members of this family whose commuting graphs are connected and of arbitrarily large diameter. If true,…